Question

5. The Coronavirus is a threat to both people and gorillas in C. The outbreak in 2020 has killed 91 of the 95 gorillas in 7 home ranges in the Kamloops, BC. To study the spread of the virus, measure "distance" by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and time in number of days until deaths began in each later group: Distance Time 3 4 4 421 3341 4 5 4346 a. b. C. Make a scatterplot. What kind of pattern does your plot show? (4 marks) Find the correlation between distance and time. (4 marks) If your time in days were replaced by time in number of weeks until death began in each later grou (fractions allowed so that 4 becomes 4/7 weeks), would the correlation coefficient between distan and time change? Explain your answer. (2 marks)

Answer 1

a) Feom the scatterplot we see that there is positive association between distance and time

b) r=0.9623

given that, Y- Distanie nie response variable X- Time je independent variable. ® Scatterplot 5+ 3 bistance CVD e 2 15 10 25 30 35 40 45 50 time (x) Interpretation : from the above graph, vee seen that there is positive association between distance (7) and time (*) we have to find the correlation coefficienter for beto distance and time 8= conexiy SDIN SD(Y) covery Exiti - Stroka. n and warix) = Eni2 X2 varir) རོ༑། དང་ CS Care SOLO n

given data Distance (Y) time (x) 4 4 4 21 33 {yi = 188 i Exiyi: 765 ina 6 + Exi= 21 Exi²=83 Exp²=7192 및 3.5 & 7 = Eti 188 6 31.33 n LOVRY IN = ПОГ 6 (3.5 * 31.33) Corety 17.8333 varex) = 83 6 (3.52 Varex S:D(x) - 1.5833 11.5833 1.2583 4 varly) = 9192 -63133) varly) = 216.8889 S.DK (216.8889 : Sbly) - 14.7271 17.8333 1.25838 14 7271 - 0.9623 .: The correlation werficient CS is wio bet ? distanie and time wi0.9.623

Page No. Date c) we have to calculate correlation coefficient beta distance and time if fime ie replaced time in ofĮ weeksi no 48/7 time (x) 417 Distance (y) 2187 8317 4 4117 0 14317 Yol 4 5 CSlanned ith Cam Scanner

Here, Eri- 22.1429 {xi²= = 146.7755 Y = B. 6905, 7= 31.3333 T:31.3333 SD iy)=1972 Ã = 4,4782 2 Here, Eni= 26.8571 "Exi² = 146.7755 Exit 109.2857 cortxiy) = log.2857 (4:4762 X 31.33) 6 = -122.6398 Narly) 1467755 5 -( 4.47627² varlx) = 4.4262 JD(X 8 2.1038 Covlx17) 3.box). Soip -122:0398 2.10387 24.7271 -3.9388- we here are correlation efficient lies bet? -1 tol r=-3. 93 88 which is not possible ie There is no correlation beta x and y time is replaced by no. of weeks. Is